**On the inverse
matrix of a fuzzy matrix**

**Abstract**

LEBEDINSKA
Julija ^{}

*Department of** Mathematics
University of Latvia
*

*Zeļļu** street 8, Rīga LV-1084*

*Latvia*

*E-mail:* Julija.Lebedinska@ge.com

We consider _{} matrix with fuzzy
elements (hereinafter – fuzzy matrix) and define algorithm of inverse matrix
determination in this paper. The concept of regularity of a fuzzy matrix is introduced. It is proven in this paper
that the inverse of a fuzzy matrix is a fuzzy matrix as well. The proofs
of the main results are based on J. Rohn research
work in the area of linear problems with inexact data.

**References**

[1] J. Rohn, „Finite Characterization of Some Linear Problems with Inexact Data", Abstracts of SCAN'2000/Interval'2000, Karlsruhe, Germany, September 19-22, 2000

[2] J. Rohn, “Inverse interval matrix", SIAM Journal on Numerical Analysis, 1993, Vol. 30, pp. 864-870

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** Acknowledgement **This work was supported by project “PhD students and
young researches support in the University of Latvia” financed by European
Social Fund.